A MUSIC-type algorithm for detecting internal corrosion from electrostatic boundary measurements

Habib Ammari; Hyeonbae Kang; Eunjoo Kim; Kaouthar Louati; Michael S. Vogelius

doi:10.1007/s00211-007-0130-x

A MUSIC-type algorithm for detecting internal corrosion from electrostatic boundary measurements

Habib Ammari, Hyeonbae Kang, Eunjoo Kim, Kaouthar Louati, Michael S. Vogelius

School of Arts and Sciences, Mathematics

Research output: Contribution to journal › Article › peer-review

38 Scopus citations

Abstract

We establish an asymptotic representation formula for the steady state current perturbations caused by internal corrosive boundary parts of small surface measure. Based on this formula we design a non-iterative method of MUSIC (multiple signal classification) type for localizing the corrosive parts from voltage-to-current observations. We perform numerical experiments to test the viability of the algorithm and the results clearly demonstrate that the algorithm works well even in the presence of relatively high noise ratios.

Original language	English (US)
Pages (from-to)	501-528
Number of pages	28
Journal	Numerische Mathematik
Volume	108
Issue number	4
DOIs	https://doi.org/10.1007/s00211-007-0130-x
State	Published - Feb 2008

All Science Journal Classification (ASJC) codes

Computational Mathematics
Applied Mathematics

Access to Document

10.1007/s00211-007-0130-x

Cite this

@article{8f622680457a4113a4df232ac9fabc2f,

title = "A MUSIC-type algorithm for detecting internal corrosion from electrostatic boundary measurements",

abstract = "We establish an asymptotic representation formula for the steady state current perturbations caused by internal corrosive boundary parts of small surface measure. Based on this formula we design a non-iterative method of MUSIC (multiple signal classification) type for localizing the corrosive parts from voltage-to-current observations. We perform numerical experiments to test the viability of the algorithm and the results clearly demonstrate that the algorithm works well even in the presence of relatively high noise ratios.",

author = "Habib Ammari and Hyeonbae Kang and Eunjoo Kim and Kaouthar Louati and Vogelius, {Michael S.}",

note = "Funding Information: H. Ammari is partially supported by the Brain Pool Korea Program at Seoul National University, H. Kang is partially supported by KOSEF grant R01-2006-000-10002-0, E. Kim is supported by BK21 Math. Division at Seoul National University, and M.S. Vogelius is partially supported by NSF grant DMS-0604999.",

year = "2008",

month = feb,

doi = "10.1007/s00211-007-0130-x",

language = "English (US)",

volume = "108",

pages = "501--528",

journal = "Numerische Mathematik",

issn = "0029-599X",

publisher = "Springer New York",

number = "4",

}

TY - JOUR

T1 - A MUSIC-type algorithm for detecting internal corrosion from electrostatic boundary measurements

AU - Ammari, Habib

AU - Kang, Hyeonbae

AU - Kim, Eunjoo

AU - Louati, Kaouthar

AU - Vogelius, Michael S.

N1 - Funding Information: H. Ammari is partially supported by the Brain Pool Korea Program at Seoul National University, H. Kang is partially supported by KOSEF grant R01-2006-000-10002-0, E. Kim is supported by BK21 Math. Division at Seoul National University, and M.S. Vogelius is partially supported by NSF grant DMS-0604999.

PY - 2008/2

Y1 - 2008/2

N2 - We establish an asymptotic representation formula for the steady state current perturbations caused by internal corrosive boundary parts of small surface measure. Based on this formula we design a non-iterative method of MUSIC (multiple signal classification) type for localizing the corrosive parts from voltage-to-current observations. We perform numerical experiments to test the viability of the algorithm and the results clearly demonstrate that the algorithm works well even in the presence of relatively high noise ratios.

AB - We establish an asymptotic representation formula for the steady state current perturbations caused by internal corrosive boundary parts of small surface measure. Based on this formula we design a non-iterative method of MUSIC (multiple signal classification) type for localizing the corrosive parts from voltage-to-current observations. We perform numerical experiments to test the viability of the algorithm and the results clearly demonstrate that the algorithm works well even in the presence of relatively high noise ratios.

UR - http://www.scopus.com/inward/record.url?scp=38549177964&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=38549177964&partnerID=8YFLogxK

U2 - 10.1007/s00211-007-0130-x

DO - 10.1007/s00211-007-0130-x

M3 - Article

AN - SCOPUS:38549177964

SN - 0029-599X

VL - 108

SP - 501

EP - 528

JO - Numerische Mathematik

JF - Numerische Mathematik

IS - 4

ER -

A MUSIC-type algorithm for detecting internal corrosion from electrostatic boundary measurements

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this